I need three examples on how math is used in psychology.
Answer: 1) Error response times
2) Memory Scanning, visual search
3) Stimulus identification
Step-by-step explanation:1) response times reflext the time it takes to interpret a stimulus,get info from memory, initiate a muscle response
2) The hippocampus retrieves info from the working memory and begins to change the brains physical neural wiring
3) A decisive role in our perception and cognition
In general, there are two areas of psychology where mathematics is heavily utilized: mathematical modeling of psychological theories and experimental phenomena, which gives rise to mathematical psychology, and statistical approaches to quantitative measurement practices in psychology, which give rise to psychometrics.
solve using elimination 3x-3y=-2, -6x+6y=4 (please show your work if possible)
evaluate the expression 6x + 4 9/10 when x = 2/3.
x=2/3
6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10
Answer:
2x-1=y,2y+3=x
Step-by-step explanation:
no explanation
Help will give b if correct
Answer:
0.28
Step-by-step explanation:
28 divided by 100=0.28
Answer:0.28m
Step-by-step explanation:
A. (A+B)^2=A^2+B^2+2AB
B. A+A^−1 is invertible
C. (In+A)(In+A^−1)=2In+A+A^−1
D. A^6 is invertible
E. (A+A^-1)^9=A^9+A^−9
F. AB=BA
The correct answer is options B, C, D and E, that is, B. A + A⁻¹ is invertible, C. (In + A) (In + A⁻¹) = 2In + A + A⁻¹, D. A⁶ is invertible and E. (A + A⁻¹)⁹ = A⁹ + A⁻⁹.
Given below are the solutions to the provided mathematical expressions:A. This expression is incorrect.
The correct expression should be (A + B)² = A² + 2AB + B²B. We can see that A + A⁻¹ = A(A⁻¹) + A(A⁻¹) = I. Therefore, A + A⁻¹ is invertible.C. Given (In + A) (In + A⁻¹) = In² + InA⁻¹ + AIn + AA⁻¹ = 2In + A + A⁻¹D. If A⁶ is invertible, it means that (A⁶)⁻¹ exists. Let's assume that A⁶ is not invertible.
Therefore, we cannot find the inverse of A⁶. It means (A⁶)⁻¹ does not exist. This is contradictory. Hence A⁶ is invertible.E. We can see that (A + A⁻¹)² = A² + A⁻² + 2I. Let's replace (A + A⁻¹)² by (A + A⁻¹) × (A + A⁻¹)⁸(A + A⁻¹)⁹= (A + A⁻¹)² × (A + A⁻¹)⁷= (A² + A⁻² + 2I) × (A + A⁻¹)⁷= A⁹ + A⁻⁹ + 9(A⁷ + A⁻⁷) + 36(A⁵ + A⁻⁵) + 84(A³ + A⁻³) + 126(A + A⁻¹) Here, we have used binomial expansion for (A + A⁻¹)⁸.F.
If AB = BA, it means that A and B are commutative. This doesn't necessarily imply that A and B are invertible. So, option F is incorrect.Solution: In this problem, options A, B, C, D and E are provided to us, and we need to find out the correct option(s) out of them.
Hence, the correct option(s) is(are) as follows:B. A + A⁻¹ is invertibleC. (In + A) (In + A⁻¹) = 2In + A + A⁻¹D. A⁶ is invertibleE. (A + A⁻¹)⁹ = A⁹ + A⁻⁹
Thus, the correct answer is options B, C, D and E, that is, B. A + A⁻¹ is invertible, C. (In + A) (In + A⁻¹) = 2In + A + A⁻¹, D. A⁶ is invertible and E. (A + A⁻¹)⁹ = A⁹ + A⁻⁹.
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Select all of the equations below in which q is inversely proportional to r.
q=r+4
q=4/r
q=r/4
q=4r
q=r-4
The equation that represents q being inversely proportional to r is:
q = 4/r
This is because when we say that q is inversely proportional to r, it means that as one variable increases, the other variable decreases in such a way that their product remains constant.
In this case, we can see that if we multiply q and r, we get a constant value of 4.
This is not true for the other equations, so they do not represent q being inversely proportional to r.
Therefore, the equation q = 4/r is the only one in the given options that represents q being inversely proportional to r.
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A sample of the number of sick days used by employees at a company is as indicated: 0, 0, 1, 1, 2, 4 Find the sum of the mean and the standard deviation. 3, 1, 4, 6, 1, 8 Find the value of the mean minus the median. Select one: a. 3.60 b. 1.78 c. 1.37 - d. 2.84 e. 1.51
The value of mean minus median is 0.33. Therefore, the correct option is (e) 1.51.
The solution to the problem is as follows: The sample of sick days used by employees is {0, 0, 1, 1, 2, 4}.
We are to find the sum of the mean and standard deviation. In order to do that, we will first find the mean of the given sample:
{0, 0, 1, 1, 2, 4}Mean = (0+0+1+1+2+4)/6
= 8/6 = 1.33
Next, we will find the standard deviation. Using the formula of standard deviation,
we get;{0, 0, 1, 1, 2, 4}Mean = 1.33n = 6
Step 1: Find the deviation from the mean.μ = (0 + 0 + 1 + 1 + 2 + 4)/6 = 8/6 = 1.33
Deviation from the mean: x₁= 0 - 1.33 = -1.33 x₂= 0 - 1.33 = -1.33 x₃= 1 - 1.33 = -0.33 x₄= 1 - 1.33 = -0.33 x₅= 2 - 1.33 = 0.67 x₆= 4 - 1.33 = 2.67
Step 2: Square of Deviation from Meanx₁² = (-1.33)² = 1.78 x₂² = (-1.33)² = 1.78 x₃² = (-0.33)² = 0.11 x₄² = (-0.33)² = 0.11 x₅² = (0.67)² = 0.45 x₆² = (2.67)² = 7.12
Step 3: Sum of Squared Deviation from Mean1.78 + 1.78 + 0.11 + 0.11 + 0.45 + 7.12 = 11.35Step 4: VarianceS² = Σ(x - μ)² / n-1S² = 11.35 / (6-1) = 2.27
Step 5: Standard Deviation S = √(Σ(x - μ)² / n-1)S = √2.27 = 1.51Now, we need to add the mean and standard deviation together Mean + Standard Deviation = 1.33 + 1.51 = 2.84
Hence, the sum of the mean and standard deviation is 2.84. Now, let's move to the second part of the question.
The given sample is {3, 1, 4, 6, 1, 8}. We are to find the value of the mean minus the median. In order to do that, we will first find the mean of the given sample:{3, 1, 4, 6, 1, 8}Mean = (3+1+4+6+1+8)/6 = 23/6 = 3.83
Next, we will find the median of the given sample. In order to find the median, we first need to arrange the data in order:{1, 1, 3, 4, 6, 8}Since the number of data points is even, the median is the average of the two middle numbers. In this case, the middle numbers are 3 and 4, so the median is:
Median = (3+4)/2 = 3.5
Now we can find the value of mean minus median: Mean - Median = 3.83 - 3.5 = 0.33
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What is the slope of a line perpendicular to the line whose equation is
2x-10y = 100. Fully reduce your answer.
Answer: -5
Step-by-step explanation:
Name the angle with greatest measure in ∠DEF.
a. cannot tell
b. ∠D
c. ∠F
d. ∠E
Answer:
D
Step-by-step explanation:
Its the biggest one
Where do these two lines intercept on a graph y= -2x+9 and y=3x-6
These two lines intercept on a graph on the coordinate X(0, 1) Y(9, 7).
How to find this?The term "intercept" refers to the location where a line or curve intersects an axis on a graph. An object's x-intercept is defined as where a point crosses the x-axis. The term "y-intercept" refers to a point that crosses the y-axis. The intersection of the x-axis and the y-axis is what is meant by a line's intercept.
step1
y=-2x+9
graph the line using the slope and y intercept or two points
y=-2x+9
X(0,1) Y(9,7)
step2
y=3x-6
slope 3 y intercept (0,-6)
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At a point on the ground 24 ft from the base of a tree, the distance to the top of the tree is 6 ft more than 2 times the height of the tree. Find the height of the tree.
The height of the tree is t
(Simplify your answer. Rund to the nearest foot as needed.)
At a point on the ground 24 ft from the base of the tree, the distance to the top of the tree is 6 ft more than 2 times, the height of the tree is 18 feet.
Let us designate the tree's height as h. According to the information provided, the distance to the summit of the tree from a location on the ground 24 feet from the base of the tree is 6 feet more than twice the tree's height.
Using these data, we can construct the following equation:
24 + h = 2h + 6
Simplifying the equation, we have:
24 + h = 2h + 6
h - 2h = 6 - 24
-h = -18
Dividing both sides of the equation by -1, we get:
h = 18
18 feet is the height of the tree
To summarize, based on the given information, we set up an equation to represent the relationship between the distance to the top of the tree from a point on the ground and the height of the tree.
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What's 9 in index form
Answer:
3²
Step-by-step explanation:
Sydney cabs charge $3.60 Flag Fall plus $2.19 per km. (a) write down an equation to calculate the cost ,C, of cab fare for a distance of kilometers. (b) use your equation to calculate the cost of cab fare for a distance of 15 km
Answer:
C=2.19km+3.60
Step-by-step explanation:
If you traveled 15 km it would cost 36.45.
Have a nice night! (^-^)
What is the slope that passes through the points(-2,4) and (3,8). m=
Please Mark as brainlist ..........
Brian is going to buy his first home for $220,000. He has to put $22,000 down. He needs to spread the payments over 180 months to get a 3. 5% fixed annual interest. What is the best estimate of the monthly payment?
The estimated monthly payment for Brian's home loan would $1413.52.
To calculate the best estimate of the monthly payment for Brian's home loan, we can use the formula for calculating a fixed-rate mortgage payment.
The formula for the monthly payment of a fixed-rate mortgage is:
M = P * (r * (1+r)^n) / ((1+r)^n - 1),
where M is the monthly payment, P is the principal amount (loan amount minus down payment), r is the monthly interest rate, and n is the number of monthly payments.
In this case, Brian's principal amount is $220,000 - $22,000 = $198,000 (loan amount minus down payment). The monthly interest rate is 3.5% / 12 = 0.0029 (converted from annual interest rate to monthly rate), and the number of monthly payments is 180.
Plugging in these values into the formula, we get:
M = $198,000 * (0.0029 * (1+0.0029)^180) / ((1+0.0029)^180 - 1).
M = $198,000 * (0.0029 * (1+0.0029)^180) / ((1+0.0029)^180 - 1)
M = $1413.52
Evaluating this expression gives us the best estimate of the monthly payment. However, the calculation involves complex mathematical operations, and it is recommended to use a financial calculator or spreadsheet software to obtain an accurate estimate.
Note: It's important to consult with a financial advisor or a mortgage professional to get precise and personalized information about mortgage terms, interest rates, and monthly payments based on individual circumstances and loan options available.
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If we know that the probability for 2 > 1.5 is .067, then we can say that a) the probability of exceeding the mean by more than 1.5 standard deviations is .067. b) the probability of being more than 1.5 standard deviations away from the mean is . 134. c) 86.6% of the scores are less than 1.5 standard deviations from the mean. d) all of the above
The correct answer is d) all of the above. This is because:
a) The probability of exceeding the mean by more than 1.5 standard deviations is .067, which is given in the question.
b) Since the probability of being more than 1.5 standard deviations away from the mean is symmetrical, we can double the given probability (.067 * 2 = .134).
c) To find the percentage of scores less than 1.5 standard deviations from the mean, we subtract the probability of being more than 1.5 standard deviations away (.134) from 1 (1 - .134 = .866 or 86.6%).
First, it's important to understand that in statistics, we use standard deviations to measure how much variation there is in a set of data. The mean (or average) is used as a reference point, and we can calculate how far away each data point is from the mean in terms of standard deviations.
Now, let's look at the given probability of .067 for 2 > 1.5. This means that there is a .067 probability (or 6.7% chance) that a randomly selected data point from the set will be greater than 1.5 standard deviations away from the mean.
Using this information, we can rule out option c) as it does not directly relate to the given probability. Option b) states that the probability of being more than 1.5 standard deviations away from the mean is .134, which is incorrect. If we want to find the probability of being either more than 1.5 standard deviations above or below the mean, we need to double the given probability to get .134.
Therefore, the correct answer is d) all of the above. We can say that the probability of exceeding the mean by more than 1.5 standard deviations is .067, the probability of being more than 1.5 standard deviations away from the mean (either above or below) is .134, and that approximately 86.6% of the scores are less than 1.5 standard deviations from the mean.
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Need help! only have today till I turn in!
Answer:
yes
Step-by-step explanation:
what is the meaning of interval [a,b]
Answer:
Step-by-step explanation:
interval in mathematics stands for a set of real numbers,
denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.
thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.
74/360 in simplest form
Answer:
37/180
Step-by-step explanation:
Reduce this fraction by dividing both sides by 2. We get 37/180, which cannot be reduced further; 37 and 180 have no common factor.
PLEASE HELP ME WITH THIS
Answer: x=7 is a vertical line when graphed, so the slope is undefined. An equation parallel to the line would be x=6 or x=100, anything with an undefined slope really
Step-by-step explanation:
when written in symbols the product of r and s raised to the foruth power is represented as
The product of r and s to the fourth power is written as
(rs)⁴What is exponent?In math, the term exponent refers to the number of times a certain number multiplies it self.
The number that is being multiplies is referred to as the base number while the number of times it multiplies itself is the exponents
In the problem, the multiplication of r and s is done as follows
= r * s
= rs
In this case, the base number is rs and raise to the fourth power implies that rs multiplies it self four times
= rs * rs * rs * rs
= (rs)⁴
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Answer:
(rs)^4
Step-by-step explanation:
Brainliest!!! CORRECT and fast answers. :)
Answer:
A. 2 units left and 3 units up
Step-by-step explanation:
2 from x is taken away and thus shifts 2 to the left
3 is added to the eventual y value and thus shifts 3 upward
Use the parabola tool to graph the quadratic function y=-1? - 2.0 +8
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
see explanation
Step-by-step explanation:
I don't have graphing facilities but can give you the vertex and 1 other point.
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - \(\frac{b}{2a}\)
y = - x² - 2x + 8 ← is in standard form
with a = - 1 and b = - 2 , then
x = - \(\frac{-2}{-2}\) = - 1
Substitute x = - 1 into the equation for corresponding value of y
y = - (- 1)² - 2(- 1) + 8 = - 1 + 2 + 8 = 9
vertex = (- 1, 9 )
To obtain another point substitute any value for x into the equation
x = 0 : y = 0 - 0 + 8 , then (0, 8 ) is a point on the graph
x = 2 : y = - (2)² - 2(2) + 8 = - 4 - 4 + 8 = 0 then (2, 0 ) is a point on the graph
plot (1,-4) in a coodinate plane
Answer:
I can't graph this but I will do my best to explain.
From 0 go right once, then go down 4. that should be where you would put the dot on the graph.
Step-by-step explanation:
Hope this helps!
Can someone help me find the domain and range?
domain is x
range is y
domain is time
range is distance
domain is between 0 & 170 seconds
range is 0 & 60 meters
meters per seconds is like
miles per hour so
this graph is about SPEED !
speed is usually indicated by the graph's
SLOPE !
Please I really need help (50 points)
Provide the missing statements and reasons for the following proof.
Answer:
PROOF FOR THE "PROVE" SECTION:
As linear pairs, angle 2 and 3 are supplementary to each other. Angle 1 is equal to angle 2, as they are both same-side interior angles. Therefore, angle 1 and angle 3 are also supplementary.
Filling in the missing blanks:
S1. Angle 1, Angle 2, Angle 3
S2. Angle 1 and Angle 2
R3. Congruent (___)
R5. supplementary angles
S7. Angle 1 = Angle 2, so Angle 1 can be substitued in for Angle 2 in any equation, and Angle 2 can be substitued for Angle 1 in any equation as well (they can replace each other, like x=y & y=x or a=b & b=a)
Hope this helped! Have a great day (pls mark brainliest)!!
the quotient of 5+h and n+3
Answer:
5+h/n+3
Step-by-step explanation:
5+h is numerator
and n+3 is denominator
so you make it a fraction to get the quotient which is 5+h/n+3
What is the domain and range of..... please help
Answer:
For domain,
9-x2>=0
or,(x+3)(x-3)<=0
using wavy curve method,we get
Domain=[-3,3]
As domain matches only in first option,so the correct option is option first
How do i solve this?
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
The cost when no sugar is transported is 3250, so that is the "y-intercept". (There is no "y". The vertical axis is labeled "c", so that is the c-intercept.)
The cost per ton is 125, so that is the slope or "rate of change". Each increase of 1 unit in the value of "s" will result in an increase of 125 in the value of "c". The grid lines for "c" are 500 apart, so 1 vertical grid space will correspond to 500/125 = 4 horizontal grid spaces.
The graph starts at the left side halfway between 3000 and 3500. It goes up 1 grid square for each 4 grid squares to the right.
Find the angle of CD. Round to the nearest tenth. 12.7 cm 45.5° 9/06 cm mCD= [?]°
Using the information in the diagram, the measure of \(\overset{\LARGE\frown}{CD}\) is 89.0°
Calculating the angle subtended by an arcFrom the question, we are to determine the measure of \(\overset{\LARGE\frown}{CD}\)
Consider the right triangle
The measure of \(\overset{\LARGE\frown}{CD}\) is twice the measure of the unknown angle
Let the unknown angle in the right triangle be x
∴ The measure of \(\overset{\LARGE\frown}{CD}\) = 2x
Then,
x + 90° + 45.5° = 180° (Sum of angles in a triangle)
x = 180° - 90° - 45.5°
x = 44.5°
Thus,
The measure of \(\overset{\LARGE\frown}{CD}\) = 2×44.5°
The measure of \(\overset{\LARGE\frown}{CD}\) = 89°
Hence, the measure of \(\overset{\LARGE\frown}{CD}\) is 89.0°
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